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Finding the Fourth Proportional to 346.13, 519.01 and 163.47

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Solution

The fourth proportional to 346.13, 519.01 and 163.47 is: 245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 519.01 = 163.47 : x
  2. Step 2: Convert to fraction form
    346.13/519.01 = 163.47/x
  3. Step 3: Cross multiply
    346.13x = 519.01 × 163.47
  4. Step 4: Simplify right side
    346.13x = 84,845.02
  5. Step 5: Solve for x
    x = 84,845.02/346.13
  6. Step 6: Final answer
    x = 245.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.